Multiply by .

Multiply and .

Expand the denominator using the FOIL method.

Simplify.

Divide by .

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify each term.

Combine using the product rule for radicals.

Multiply by .

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

Multiply .

Combine using the product rule for radicals.

Multiply by .

Multiply .

Combine using the product rule for radicals.

Multiply by .

Multiply .

Multiply by .

Multiply by .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Use to rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Evaluate the exponent.

Add and .

Subtract from .

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Simplify ( square root of 14- square root of 13)/( square root of 14+ square root of 13)